Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than 70% of the students who took the test. What should Tom's score at least be in order to be admitted.
NOTE: WRITE YOUR ANSWER USING 4 DECIMAL DIGIT. FOR EXAMPLE 0.1234 OR 3.2450. DO NOT ROUND UP OR DOWN THE LAST DECIMAL DIGIT.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion (.70) in larger portion and its Z score. Insert the Z score in the above equation to find the score.